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Florków P, Lipiński S. Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime. BEILSTEIN JOURNAL OF NANOTECHNOLOGY 2021; 12:1209-1225. [PMID: 34858774 PMCID: PMC8593695 DOI: 10.3762/bjnano.12.89] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Accepted: 10/20/2021] [Indexed: 06/13/2023]
Abstract
We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson-Holstein Hamiltonian. The finite-U mean-field slave boson approach is used to study many-body effects. Phonons influence both interference and correlations. Depending on the dot unperturbed energy and the strength of electron-phonon interaction, the system is occupied by a different number of electrons that effectively interact with each other repulsively or attractively. This leads, together with the interference effects, to different spin or charge Fano-Kondo effects.
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Affiliation(s)
- Patryk Florków
- Department of Theory of Nanostructures, Institute of Molecular Physics, Polish Academy of Sciences, M. Smoluchowskiego 17, 60-179 Poznań, Poland
| | - Stanisław Lipiński
- Department of Theory of Nanostructures, Institute of Molecular Physics, Polish Academy of Sciences, M. Smoluchowskiego 17, 60-179 Poznań, Poland
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Fernández J, Roura-Bas P, Aligia AA. Theory of Differential Conductance of Co on Cu(111) Including Co s and d Orbitals, and Surface and Bulk Cu States. PHYSICAL REVIEW LETTERS 2021; 126:046801. [PMID: 33576682 DOI: 10.1103/physrevlett.126.046801] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/28/2020] [Accepted: 01/07/2021] [Indexed: 06/12/2023]
Abstract
We revisit the theory of the Kondo effect observed by a scanning-tunneling microscope (STM) for transition-metal atoms (TMAs) on noble-metal surfaces, including d and s orbitals of the TMA, surface and bulk conduction states of the metal, and their hopping to the tip of the STM. Fitting the experimentally observed STM differential conductance for Co on Cu(111) including both the Kondo feature near the Fermi energy and the resonance below the surface band, we conclude that the STM senses mainly the Co s orbital and that the Kondo antiresonance is due to interference between states with electrons in the s orbital and a localized d orbital mediated by the conduction states.
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Affiliation(s)
- J Fernández
- Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina, Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas, 1025 CABA, Argentina
| | - P Roura-Bas
- Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina, Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas, 1025 CABA, Argentina
| | - A A Aligia
- Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina, Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas, 1025 CABA, Argentina
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3
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Liu B, Zhang S, Miao G, Guo J, Meng S, Wang W. Inspecting the nonbonding and antibonding orbitals in a surface-supported metal-organic framework. Chem Commun (Camb) 2021; 57:4580-4583. [PMID: 33956023 DOI: 10.1039/d1cc00506e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
By using low-temperature scanning tunnelling microscopy and spectroscopy, ligand field theory and density functional theory calculations, we revealed the spatial distribution and energy separation of the nonbonding and antibonding orbitals associated with the top-Ni atoms in a surface-supported Ni-TPyP metal-organic framework with dinuclear coordination centres.
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Affiliation(s)
- Bing Liu
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
| | - Shengjie Zhang
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
| | - Guangyao Miao
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
| | - Jiandong Guo
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China and Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
| | - Sheng Meng
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China and Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
| | - Weihua Wang
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. and Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
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Roura-Bas P, Güller F, Tosi L, Aligia AA. Destructive quantum interference in transport through molecules with electron-electron and electron-vibration interactions. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:465602. [PMID: 31357183 DOI: 10.1088/1361-648x/ab3684] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We study the transport through a molecular junction exhibiting interference effects. We show that these effects can still be observed in the presence of molecular vibrations if Coulomb repulsion is taken into account. In the Kondo regime, the conductance of the junction can be changed by several orders of magnitude by tuning the levels of the molecule, or displacing a contact between two atoms, from nearly perfect destructive interference to values of the order of 2e 2/h expected in Kondo systems. We also show that this large conductance change is robust for reasonable temperatures and voltages for symmetric and asymmetric tunnel couplings between the source-drain electrodes and the molecular orbitals. This is relevant for the development of quantum interference effect transistors based on molecular junctions.
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Affiliation(s)
- P Roura-Bas
- Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, CONICET, 8400 Bariloche, Argentina
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Stoll P, Lotze C, Ladenthin JN, Umbach TR, Fernández-Torrente I, Franke KJ. Correlation of Kondo effect and molecular conformation of the acceptor molecule in the TTF-TCNE charge transfer complex. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:454002. [PMID: 30265245 DOI: 10.1088/1361-648x/aae502] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
A Kondo resonance has been observed on purely organic molecules in several combinations of charge transfer complexes on a metal surface. It has been regarded as a fingerprint of the transfer of one electron from the donor to the extended π orbital of the acceptor's LUMO. Here, we investigate the stoichiometric checkerboard structure of tetrathiafulvalene (TTF) and tetracyanoethylene (TCNE) on a Au(1 1 1) surface using scanning tunneling and atomic force microscopy at 4.8 K. We find a bistable state of the TCNE molecules with distinct structural and electronic properties. The two states represent different conformations of the TCNE within the structure. One of them exhibits a Kondo resonance, whereas the other one does not, despite of both TCNE types being singly charged.
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Affiliation(s)
- Paul Stoll
- Freie Universität Berlin, Fachbereich Physik, Arnimallee 14, 14195 Berlin, Germany
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Fernández J, Roura-Bas P, Camjayi A, Aligia AA. Two-stage three-channel Kondo physics for an FePc molecule on the Au(1 1 1) surface. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:374003. [PMID: 30095081 DOI: 10.1088/1361-648x/aad973] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We study an impurity Anderson model to describe an iron phthalocyanine (FePc) molecule on Au(1 1 1), motivated by previous results of scanning tunneling spectroscopy (STS) and theoretical studies. The model hybridizes a spin doublet consisting in one hole at the [Formula: see text] orbital of iron and two degenerate doublets corresponding to one hole either in the 3d xz or in the 3d yz orbital (called π orbitals) with two degenerate Hund-rule triplets with one hole in the 3d z orbital and another one in a π orbital. We solve the model using a slave-boson mean-field approximation (SBMFA). For reasonable parameters we can describe very well the observed STS spectrum between sample bias -60 mV to 20 mV. For these parameters the Kondo effect takes place in two stages, with different energy scales [Formula: see text] corresponding to the Kondo temperatures related with the hopping of the z 2 and π orbitals respectively. There is a strong interference between the different channels and the Kondo temperatures, particularly the lowest one is strongly reduced compared with the value in the absence of the competing channel.
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Affiliation(s)
- J Fernández
- Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, CONICET 8400 Bariloche, Argentina
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Li N, Gu G, Zhang X, Song D, Zhang Y, Teo BK, Peng LM, Hou S, Wang Y. Packing fractal Sierpiński triangles into one-dimensional crystals via a templating method. Chem Commun (Camb) 2017; 53:3469-3472. [DOI: 10.1039/c7cc00566k] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Crystalline structures with Sierpiński triangles as building blocks were constructedviaa templating method in ultra-high vacuum and studied by low-temperature scanning tunneling microscopy.
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Affiliation(s)
- Na Li
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Gaochen Gu
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Xue Zhang
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Daoliang Song
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Yajie Zhang
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Boon K. Teo
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Lian-mao Peng
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Shimin Hou
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
| | - Yongfeng Wang
- Key Laboratory for the Physics and Chemistry of Nanodevices
- Department of Electronics
- Peking University
- Beijing 100871
- China
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